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Finding the Third Proportional to 173,886 and 380,982

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Solution

The third proportional to 173,886 and 380,982 is: 834,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,886 : 380,982 = 380,982 : x
  2. Step 2: Convert to fraction form
    173,886/380,982 = 380,982/x
  3. Step 3: Cross multiply
    173,886x = 380,982 × 380,982
  4. Step 4: Simplify right side
    173,886x = 145,147,284,324
  5. Step 5: Solve for x
    x = 145,147,284,324/173,886
  6. Step 6: Final answer
    x = 834,726.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.